First slide

Interference

Question

Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is 25. The intensities are in the ratio:

Moderate

A

25 : 1
B

5 : 1
C

9 : 4
D

625 : 1

Solution

$\frac{a_{1} + a_{2}}{a_{1} - a_{2}} = 5 \Rightarrow a_{1} + a_{2} = 5 (a_{1} - a_{2})$
$\frac{a_{1}}{a_{2}} = \frac{3}{2} \frac{l_{1}}{l_{2}} = {(\frac{a_{1}}{a_{2}})}^{2} = \frac{9}{4}$

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